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Finding the Third Proportional to 11,264 and 24,472

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Solution

The third proportional to 11,264 and 24,472 is: 53,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264 : 24,472 = 24,472 : x
  2. Step 2: Convert to fraction form
    11,264/24,472 = 24,472/x
  3. Step 3: Cross multiply
    11,264x = 24,472 × 24,472
  4. Step 4: Simplify right side
    11,264x = 598,878,784
  5. Step 5: Solve for x
    x = 598,878,784/11,264
  6. Step 6: Final answer
    x = 53,167.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.